Gorenstein stable log surfaces with $(K_X+\Lambda)^2=p_g(X,\Lambda)-1$

Jingshan Chen

Gorenstein stable log surfaces with $(K_X+\Lambda)^2=p_g(X,\Lambda)-1$

Algebraic Geometry 2020-04-10 v3

Authors: Jingshan Chen

Abstract

In this paper, we will give a complete classification of Gorenstein stable log surfaces $(X,\Lambda)$ with $(K_X+\Lambda)^2=p_g(X,\Lambda)-1$ , where $p_g(X,\Lambda):=h^0(X,K_X+\Lambda)$ . In particular, we classify Gorenstein stable surfaces with $K_X^2=p_g-1$ .

Cite

@article{arxiv.1803.03973,
  title  = {Gorenstein stable log surfaces with $(K_X+\Lambda)^2=p_g(X,\Lambda)-1$},
  author = {Jingshan Chen},
  journal= {arXiv preprint arXiv:1803.03973},
  year   = {2020}
}

Comments

To appear in Communications in Algebra

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